PSLE In the figure, FGJ and LKJ are straight lines and KG is parallel to JH. ∠KLF is a right angle, ∠LFG = 53°, ∠FGH = 119° and ∠JKG = 64°.
- Find ∠FGK.
- Find ∠GHJ.
(a)
∠FJL
= 180° - 90° - 53°
= 37° (Angles sum of triangle)
∠JGK
= 180° - 64° - 37°
= 79° (Angles sum of triangle)
∠FGK
= 180° - 79°
= 119° (Angles on a straight line)
(b)
∠JGH
= 360° - 119° - 79° - 119°
= 43° (Angles at a point)
∠GHJ
= 180° - 43° - 43°
= 94°
Answer(s): (a) 119°; (b) 94°